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Finding the Third Proportional to 200,902 and 275,478

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Solution

The third proportional to 200,902 and 275,478 is: 377,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,902 : 275,478 = 275,478 : x
  2. Step 2: Convert to fraction form
    200,902/275,478 = 275,478/x
  3. Step 3: Cross multiply
    200,902x = 275,478 × 275,478
  4. Step 4: Simplify right side
    200,902x = 75,888,128,484
  5. Step 5: Solve for x
    x = 75,888,128,484/200,902
  6. Step 6: Final answer
    x = 377,737.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.